Answer:
4.93 inches
Step-by-step explanation:
Let x be the side length ( in inches ) of the original cube,
∵ 3 in thick slice is cut off the cube,
So, the volume of the slice = 3 × x × x = 3x²,
Now, the volume of a cube = ( side length )³,
That is, the length of the given cube = x³
Thus, the volume of the resultant figure = volume of cube - volume of slice
= x³ - 3x²
According to the question,


After plotting the function
in the graph,
We found that,
Zeros of the function is,
x = 4.932
Hence, the solution of the above equation is x = 4.932 ≈ 4.93
That is, the side length of the original cube is 4.93 in.